Answer:
-a + b
Step-by-step explanation:
Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.
<u>Step-by-step explanation:</u>
Step 1:
Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.
Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.
Step 2:
Form an equation using the above information.
⇒ 9x + 5.25 (12-x) = 12 × 7.75
⇒ 9x + 63 - 5.25x = 93
⇒ 9x - 5.25x = 30
⇒ 3.75x = 30
⇒ x = 8
Number of macadamia nuts is 8 pounds.
Step 3:
Calculate number pounds of almonds
⇒ Number of pounds of almonds = 12 - x = 4 pounds.
Answer:
The possible solutions are 58 degree, 122 degrees, 302 degrees and 238 degrees
Step-by-step explanation:
Please see the attachment
From the figure, it is evident that
cos AOB = OB/OA = 53/100 = 0.53
Thus, cos-1 (0.53) = 58 degrees
AOB = 58 degree
Also, there are can be other values depending on the quadrants
COB = 180 -58 = 122 degrees
FOB = 360 -58 = 302 degrees
EOB = 180 + 58 = 238 degrees
12+6x was subtracted from the left but only 12 was subtracted from the right.
6x and 6 are not equal unless x=1
X=-11/15
